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Finding the Fourth Proportional to 264,002.70, 395,712.45 and 145,758.90

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Solution

The fourth proportional to 264,002.70, 395,712.45 and 145,758.90 is: 218,477.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,002.70 : 395,712.45 = 145,758.90 : x
  2. Step 2: Convert to fraction form
    264,002.70/395,712.45 = 145,758.90/x
  3. Step 3: Cross multiply
    264,002.70x = 395,712.45 × 145,758.90
  4. Step 4: Simplify right side
    264,002.70x = 57,678,611,428.31
  5. Step 5: Solve for x
    x = 57,678,611,428.31/264,002.70
  6. Step 6: Final answer
    x = 218,477.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.